Question 1100876: Can someone help me with this problem? Thank you.
y=e^x; t(x,y)=(x-2, y+3)
Write the equation of the image under the given transformation in simplest form. Then transform three points from the pre-image to their image points under the given mapping.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website!   .
Not all the language of math is universal or standardized, but
I interpret the problem as every point in the graph is moving.
 units to the right (meaning 2 units to the left),
and  units up,
and we achieve that by placing  where  goes,
and  where  goes,in the expression .
If my interpretation is the one used in your class,
The plots and equation of the image follow.
Let us take 3 points from the graph of .
Let us tabulate the values for points A, B and C with  ,  and 
 .
The plotted points and the graph of the function look like this
The new tabulation for image points  , , and  ,
adding to each x value, and to each y value, is
 .
The plot for old (pre-image) and (image) new points/function can be graphed like this:
 .
The equation for the red graph would be
 , but  could be considered to be in "simplest form".
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